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Finding the Fourth Proportional to 13,213.76, 19,817.16 and 5,421.08

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Solution

The fourth proportional to 13,213.76, 19,817.16 and 5,421.08 is: 8,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.76 : 19,817.16 = 5,421.08 : x
  2. Step 2: Convert to fraction form
    13,213.76/19,817.16 = 5,421.08/x
  3. Step 3: Cross multiply
    13,213.76x = 19,817.16 × 5,421.08
  4. Step 4: Simplify right side
    13,213.76x = 107,430,409.73
  5. Step 5: Solve for x
    x = 107,430,409.73/13,213.76
  6. Step 6: Final answer
    x = 8,130.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.